The figure illustrates the flow of an ideal fluid through a pipe of circular cro
ID: 2123760 • Letter: T
Question
The figure illustrates the flow of an ideal fluid through a pipe of circular cross section, with diameters of 1cm and 2cm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of the fluid at locations x = Q,R,S,T, or U.IMAGE URL: http://s14.postimg.org/o5h2kyfgh/image.png
1)VU is .... VS
2)PR is .... PT
3) PS is .... PQ
4)VT is .... 0.5VU
I know For velocities use the equation A1V1=A2V2. So a pipe with a greater diameter is going to have a slower velocity. if d1=1cm and d2=2cm, you have (pi*d1^2/4)V1 = (pi*d2^2/4)V2. so 1/4 * V1 = V2.
Then for pressure use the v^2/2 + gh + pressure/rho = constant.
So think of it if you have a higher velocity, your pressure will be smaller because you are subtracting a larger number over. class="content"> And if you have the same diameter, you look at the height. class="content"> if the height is greater, you will also have a lesser pressure.
greater H = smaller P
greater V = smaller P
greater D = smaller V
smaller D = greater V
I still can't figure it out with knowing all of that. class="meta"> class="content"> The figure illustrates the flow of an ideal fluid through a pipe of circular cross section, with diameters of 1cm and 2cm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of the fluid at locations x = Q,R,S,T, or U.
IMAGE URL: http://s14.postimg.org/o5h2kyfgh/image.png
1)VU is .... VS
2)PR is .... PT
3) PS is .... PQ
4)VT is .... 0.5VU
I know For velocities use the equation A1V1=A2V2. So a pipe with a greater diameter is going to have a slower velocity. if d1=1cm and d2=2cm, you have (pi*d1^2/4)V1 = (pi*d2^2/4)V2. so 1/4 * V1 = V2.
Then for pressure use the v^2/2 + gh + pressure/rho = constant.
So think of it if you have a higher velocity, your pressure will be smaller because you are subtracting a larger number over. And if you have the same diameter, you look at the height. if the height is greater, you will also have a lesser pressure.
greater H = smaller P
greater V = smaller P
greater D = smaller V
smaller D = greater V
I still can't figure it out with knowing all of that. class="meta"> The figure illustrates the flow of an ideal fluid through a pipe of circular cross section, with diameters of 1cm and 2cm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of the fluid at locations x = Q,R,S,T, or U. I know For velocities use the equation A1V1=A2V2. So a pipe with a greater diameter is going to have a slower velocity. if d1=1cm and d2=2cm, you have (pi*d1^2/4)V1 = (pi*d2^2/4)V2. so 1/4 * V1 = V2. Then for pressure use the v^2/2 + gh + pressure/rho = constant. So think of it if you have a higher velocity, your pressure will be smaller because you are subtracting a larger number over. And if you have the same diameter, you look at the height. if the height is greater, you will also have a lesser pressure.
Explanation / Answer
We can use A1v1=A2v2 at the same level of liquid not at the different level.
For different level use B' equation